Pith Number

pith:77JG3XLE

pith:2026:77JG3XLESRQWK3EYSV4NZJRHA2

not attested not anchored not stored refs pending

Interpreting Parton Distributions with Shapley Values

Eva Groenendijk, Ramon Winterhalder, Rapha\"el Bonnet-Guerrini, Stefano Carrazza, Stefano Forte, Vincenzo Piuri

arxiv:2607.02647 v1 · 2026-07-02 · hep-ph · hep-ex

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77JG3XLESRQWK3EYSV4NZJRHA2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-07T00:16:05.337883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd26ddd649461656c989578dca6270693dd7a3fb4880549801e4b893b2a012a

Aliases

arxiv: 2607.02647 · arxiv_version: 2607.02647v1 · doi: 10.48550/arxiv.2607.02647 · pith_short_12: 77JG3XLESRQW · pith_short_16: 77JG3XLESRQWK3EY · pith_short_8: 77JG3XLE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/77JG3XLESRQWK3EYSV4NZJRHA2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ffd26ddd649461656c989578dca6270693dd7a3fb4880549801e4b893b2a012a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fb2a4829fd5c788506842e6f06b533c166936da4cf33ca943631060bde59a58",
    "cross_cats_sorted": [
      "hep-ex"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-02T18:00:00Z",
    "title_canon_sha256": "2ab6f54bbbfd6979614a422840c2098975773864520593c5d6010dcc949c86c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02647",
    "kind": "arxiv",
    "version": 1
  }
}